Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback Caotificación Semiglobal de una Clase de Sistemas de n-Dimensiones de Tiempo Continuo a través Realimentación de Retardo

A semiglobal chaotification problem of n-dimensional polynomial continuous-time systems satisfying one special condition is examined. This problem is solved in two steps. Firstly, by using some polynomial mapping we transform the initial system to some n-th order explicit scalar ordinary differential equation with a rational nonlinearity. On the second step we apply the anticontrol feedback proposed by Wang, Chen and Yu. Our results are applied to nonlocal chaotification of three systems: the Lorenz system, the Burke-Shaw system and the Liu system.